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Finding the Fourth Proportional to 103,408.69, 155,078.15 and 39,351.63

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Solution

The fourth proportional to 103,408.69, 155,078.15 and 39,351.63 is: 59,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,408.69 : 155,078.15 = 39,351.63 : x
  2. Step 2: Convert to fraction form
    103,408.69/155,078.15 = 39,351.63/x
  3. Step 3: Cross multiply
    103,408.69x = 155,078.15 × 39,351.63
  4. Step 4: Simplify right side
    103,408.69x = 6,102,577,106.11
  5. Step 5: Solve for x
    x = 6,102,577,106.11/103,408.69
  6. Step 6: Final answer
    x = 59,014.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.